Spin anisotropy and quantum Hall effect in the kagome lattice:: Chiral spin state based on a ferromagnet

被引：528

作者：

Ohgushi, K ^{[1
]}

Murakami, S ^{[1
]}

Nagaosa, N ^{[1
]}

机构：

[1] Univ Tokyo, Dept Appl Phys, Bunkyo Ku, Tokyo 1138656, Japan

来源：

PHYSICAL REVIEW B | 2000年 / 62卷 / 10期

关键词：

D O I：

10.1103/PhysRevB.62.R6065

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A ferromagnet with spin anisotropies on the two-dimensional (2D) kagome lattice is theoretically studied. This is a typical example of the flat-band ferromagnet. The Berry phase induced by the tilting of the spins opens the band gap and quantized Hall conductance sigma(xy) = +/-e(2)/h is realized. This is the most realistic chiral spin state based on the ferromagnetism. We also discuss the implication of our results to the anomalous Hall effect observed in the metallic pyrochlore ferromagnets R2Mo2O7 (R=Nd, Sm, Gd).

引用

页码：R6065 / R6068

页数：4

共 27 条

[1] CONSIDERATIONS ON DOUBLE EXCHANGE [J].

ANDERSON, PW ;

HASEGAWA, H .

PHYSICAL REVIEW, 1955, 100 (02) :675-681

[2] GAUGE-THEORY OF HIGH-TEMPERATURE SUPERCONDUCTORS AND STRONGLY CORRELATED FERMI SYSTEMS [J].

BASKARAN, G ;

ANDERSON, PW .

PHYSICAL REVIEW B, 1988, 37 (01) :580-583

[3] Magnetotransport in manganites and the role of quantal phases: Theory and experiment [J].

Chun, SH ;

Salamon, MB ;

Lyanda-Geller, Y ;

Goldbart, PM ;

Han, PD .

PHYSICAL REVIEW LETTERS, 2000, 84 (04) :757-760

[4] MODEL FOR A QUANTUM HALL-EFFECT WITHOUT LANDAU-LEVELS - CONDENSED-MATTER REALIZATION OF THE PARITY ANOMALY [J].

HALDANE, FDM .

PHYSICAL REVIEW LETTERS, 1988, 61 (18) :2015-2018

[5] Geometrical frustration in the ferromagnetic pyrochlore Ho2Ti2O7 [J].

Harris, MJ ;

Bramwell, ST ;

McMorrow, DF ;

Zeiske, T ;

Godfrey, KW .

PHYSICAL REVIEW LETTERS, 1997, 79 (13) :2554-2557

[6]

Hurd C. M., 1972, HALL EFFECT METALS A

[7] HALL EFFECT IN FERROMAGNETICS [J].

KARPLUS, R ;

LUTTINGER, JM .

PHYSICAL REVIEW, 1954, 95 (05) :1154-1160

[8] Anomalous magnetotransport properties of R2Mo2O7 near the magnetic phase boundary [J].

Katsufuji, T ;

Hwang, HY ;

Cheong, SW .

PHYSICAL REVIEW LETTERS, 2000, 84 (09) :1998-2001

[9] TOPOLOGICAL INVARIANT AND THE QUANTIZATION OF THE HALL CONDUCTANCE [J].

KOHMOTO, M .

ANNALS OF PHYSICS, 1985, 160 (02) :343-354

[10] DIOPHANTINE EQUATION FOR THE 3-DIMENSIONAL QUANTUM HALL-EFFECT [J].

KOHMOTO, M ;

HALPERIN, BI ;

WU, YS .

PHYSICAL REVIEW B, 1992, 45 (23) :13488-13493

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